30 60 90 Triangle Review

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30 degrees, 60 degrees, and 90 degrees. The sides opposite these angles are in the ratio 1 : √3 : 2.

Front

What is the ratio of the sides in a 30-60-90 triangle?

Back

The ratio of the sides is 1 : √3 : 2, corresponding to the angles 30°, 60°, and 90° respectively.

Front

If the shortest side of a 30-60-90 triangle is 10, what is the length of the longer leg?

Back

The longer leg (opposite the 60° angle) is 10√3.

Front

If the hypotenuse of a 30-60-90 triangle is 20, what is the length of the shorter leg?

Back

The shorter leg (opposite the 30° angle) is 10.

Front

Find the length of the longer leg if the shorter leg is 4 in a 30-60-90 triangle.

Back

The longer leg is 4√3.

Front

In a 30-60-90 triangle, if the longer leg is 12√3, what is the length of the hypotenuse?

Back

The hypotenuse is 24.

Front

What is the formula to find the length of the hypotenuse in a 30-60-90 triangle?

Back

Hypotenuse = 2 * (shorter leg).

Front

If the hypotenuse of a 30-60-90 triangle is 18, what is the length of the shorter leg?

Back

The shorter leg is 9.

Front

If the longer leg of a 30-60-90 triangle is 6√3, what is the length of the hypotenuse?

Back

The hypotenuse is 12.

Front

What is the value of x in a 30-60-90 triangle if the shorter leg is x and the longer leg is 10√3?

Back

x = 10.